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109942972999376 = 24117125343347167
BaseRepresentation
bin11000111111111000010111…
…110110011110011011010000
3112102021110000211011222210212
4120333320113312132123100
5103402301202041440001
61025455034325143252
732105055235150526
oct3077702766363320
9472243024158725
10109942972999376
113203860a061610
12103b782725ab28
134946768763aca
141d213a8266316
15ca9d07ebd7bb
hex63fe17d9e6d0

109942972999376 has 80 divisors (see below), whose sum is σ = 235662393212928. Its totient is φ = 49268132323200.

The previous prime is 109942972999369. The next prime is 109942972999459. The reversal of 109942972999376 is 673999279249901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316512545 + ... + 316859711.

Almost surely, 2109942972999376 is an apocalyptic number.

109942972999376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109942972999376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117831196606464).

109942972999376 is an abundant number, since it is smaller than the sum of its proper divisors (125719420213552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109942972999376 is a wasteful number, since it uses less digits than its factorization.

109942972999376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372600 (or 372594 counting only the distinct ones).

The product of its (nonzero) digits is 7499695392, while the sum is 86.

The spelling of 109942972999376 in words is "one hundred nine trillion, nine hundred forty-two billion, nine hundred seventy-two million, nine hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 12496 25343 50686 101372 202744 278773 347167 405488 557546 694334 1115092 1388668 1799353 2230184 2777336 3598706 3818837 4460368 5554672 7197412 7637674 14394824 15275348 19792883 24648857 28789648 30550696 39585766 49297714 61101392 79171532 98595428 158343064 197190856 271137427 316686128 394381712 542274854 1084549708 2169099416 4338198832 8798253281 17596506562 35193013124 70386026248 96780786091 140772052496 193561572182 387123144364 624675982951 774246288728 1249351965902 1548492577456 2498703931804 4997407863608 6871435812461 9994815727216 13742871624922 27485743249844 54971486499688 109942972999376